Ian Craney scored a superb goal from 25 yards to give Accrington their eighth away win of the season in a dire game.
Craney scored after good work by Andrew Mangan and Paul Mullin but the goal was out of character with the match.
Rotherham's Ryan Taylor had the only shot on target from either side in the first half with high balls being launched into both penalty areas.
United's best effort came from Stanley defender Mark Roberts, who was spared an own goal by keeper Kenny Arthur.












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